The Student Room Group

Circle theorem

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Original post by zed963
would the answer be 56


there is a 56

where is it
Reply 21
Original post by TenOfThem
there is a 56

where is it


i think it y because A is a tangent so if u do 90-34=56 which is y
(edited 11 years ago)
Original post by zed963
i think it y because A is a tangent so if u do 90-34=56 which is y


Why do you think that BAP = 34?
Reply 23
BOA = 56
Reply 24
Original post by TenOfThem
Why do you think that BAP = 34?



isosceles 2 sides are thee same
Original post by zed963
BOA = 56


Yes

Now look for any lines/angles that are equal

Isosceles triangles are common in circles
Original post by zed963
isosceles 2 sides are thee same


Which two sides?
Reply 27
Original post by TenOfThem
Which two sides?


BA AO
Reply 28
Could the answer be 68
Original post by zed963
BA AO


why?
Original post by zed963
Could the answer be 68


why?
Reply 31
Original post by TenOfThem
why?


no idea
Reply 32
Original post by zed963
no idea

AO and BO are both radii of the circle so they must be equal (do you understand this?). This means that triangle ABO is isosceles.

So which two angles are equal in triangle ABO?
Original post by zed963
no idea


These questions are never done by guesswork
Reply 34
Original post by notnek
AO and BO are both radii of the circle so they must be equal (do you understand this?). This means that triangle ABO is isosceles.

So which two angles are equal in triangle ABO?


ABO and AOB
Original post by zed963
ABO and AOB


We are now at the point where you could just put

"And tenofthem asks 'why'?" after each of your guesses
Reply 36
Original post by TenOfThem
We are now at the point where you could just put

"And tenofthem asks 'why'?" after each of your guesses


Because of the radii thing
Reply 37
Original post by zed963
ABO and AOB

That's not right and I think this is where your mistake has come from.

If a triangle ABC is isosceles with AB = BC then angles A and C are equal.
Original post by zed963
Because of the radii thing


OMG

Seriously zed

there are 2 sides the same .... mark them on your diagram ... which 2 angles are the same
Reply 39
ABO = OBA

Then

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